Coulomb torque—a general theory for electrostatic forces in many-body systems

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Published 29 May 2003 Published under licence by IOP Publishing Ltd
, , Citation Armik V M Khachatourian and Anders O Wistrom 2003 J. Phys. A: Math. Gen. 36 6495 DOI 10.1088/0305-4470/36/23/314

This article is corrected by 2003 J. Phys. A: Math. Gen. 36 8359

0305-4470/36/23/6495

Abstract

In static experiments that comprise three conducting spheres suspended by torsion wires and held at constant electric potential, a net angular displacement about their centres has been observed. We demonstrate that the observed rotation is consistent with Coulomb's law of electrical forces complemented by Gauss' surface integrals for electrical potential. Analysis demonstrates that electrostatic torque is the result of electrostatic forces acting on an asymmetric distribution of charges residing on the surfaces of the spheres. The asymptotic value for electrostatic torque is proportional to the inverse of the fourth power of separation distance with the rotation direction, up or down taken perpendicular to a plane passing through sphere centres, given explicitly by the equation for torque. The identification of electrostatic torque prompts further analysis of models of matter at all size scales where electrostatic forces are the dominant operative force.

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10.1088/0305-4470/36/23/314